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Covariant GUP Deformed Hamilton-Jacobi Method
Joint Authors
Wang, Peng
Mu, Benrong
Yang, Haitang
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
On the other hand, various theories of quantum gravity suggest the existence of a minimal length scale, incorporating of which into quantum mechanics implies a modification of the uncertainty principle.
In the scenario incorporating the generalized uncertainty principle (GUP) into a quantum field theory (QFT) in a covariant way, we derive the deformed model-independent KG/Dirac and Hamilton-Jacobi equations using the methods of effective field theory.
For this Lorentz invariant GUP modified QFT, we find that the effect of GUP on the Hamilton-Jacobi equations is simply to “renormalize” the mass of the emitted particles, from m to meff.
Therefore, in this scenario, the Hawking temperature of a black hole does not receive any corrections from the GUP effect.
American Psychological Association (APA)
Mu, Benrong& Wang, Peng& Yang, Haitang. 2017. Covariant GUP Deformed Hamilton-Jacobi Method. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1122018
Modern Language Association (MLA)
Mu, Benrong…[et al.]. Covariant GUP Deformed Hamilton-Jacobi Method. Advances in High Energy Physics No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1122018
American Medical Association (AMA)
Mu, Benrong& Wang, Peng& Yang, Haitang. Covariant GUP Deformed Hamilton-Jacobi Method. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1122018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122018